A class of Markov models for longitudinal ordinal data

Biometrics

Volumn 63, Issue 4, 2007, Pages 1060-1067

  Lee, Keunbaik ^a   Daniels, Michael J ^a  

^a University of Florida ^*  (United States)

Author keywords

Fisher scoring; Generalized linear models; QOL

Indexed keywords

DISEASES; MARKOV PROCESSES;

FISHER SCORING; FISHER SCORING ALGORITHM; GENERALIZED LINEAR MODEL; LONGITUDINAL BINARY DATA; MARKOV MODELING; ORDINAL DATA; QOL; QUALITY OF LIFE; SERIAL DEPENDENCE; TRANSITION MODEL;

BIOMETRICS;

ALGORITHM; CANCER; MARKOV CHAIN; NUMERICAL MODEL;

ALGORITHM; ARTICLE; COLORECTAL CANCER; FISHER EXACT TEST; LONGITUDINAL STUDY; PROBABILITY; QUALITY OF LIFE; SCORING SYSTEM; STATISTICAL MODEL;

EID: 36749049283     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2007.00800.x     Document Type: Article

References (26)

1. Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions Automatic Control 19, 716 723.
2. Azzalini, A. (1994). Logistic regression for autocorrelated data with application to repeated measures. Biometrika 81, 767 775.
3. Breslow, N. E. and Clayton, D. G. (1993). Approximate inference in generalized linear mixed models. Journal of the American Statistical Association 88, 125 134.
4. Dale, J. R. (1986). Global cross-ratio models for bivariate, discrete, ordered responses. Biometrics 42, 909 917.
5. Fitzmaurice, G. M. and Laird, N. M. (1993). A likelihood-based method for analysing longitudinal binary responses. Biometrika 80, 141 151.
6. Frangakis, C. E. and Rubin, D. B. (2002). Principal stratification in causal inference. Biometrics 58, 21 29.
7. Gibbons, R. and Hedeker, D. (1997). Random effects probit and logistic regression models for three-level data. Biometrics 53, 1527 1537.
8. Goldberg, R. M., Sargent, D. J., Morton, R. F., Fuchs, C. S., Ramanathan, R. K., Williamson, S. K., Findlay, B. P., Pitot, H. C., and Albets, S. R. (2004). A randomized controlled trial of fluorouracil plus leucovorin, irinotecan, and oxaliplatin combinations in patients with previously untreated metastatic colorectal cancer. Journal of Clinical Oncology 22, 23 30.
9. Heagerty, P. J. (1999). Marginally specified logistic-normal models for longitudinal binary data. Biometrics 55, 688 698.
10. Heagerty, P. J. (2002). Marginalized transition models and likelihood inference for longitudinal categorical data. Biometrics 58, 342 351.
11. Heagerty, P. J. and Kurland, B. F. (2001). Misspecified maximum likelihood estimates and generalised linear mixed models. Biometrika 88, 973 985.
12. Heagerty, P. J. and Zeger, S. L. (1996). Marginal regression models for clustered ordinal measurements. Journal of the American Statistical Association 91, 1024 1036.
13. Heagerty, P. J. and Zeger, S. L. (2000). Marginalized multilevel models and likelihood inference (with discussion). Statistical Science 15, 1 26.
14. Hogan, J. W. and Laird, N. M. (1997). Mixture models for the joint distribution of repeated measures and event times. Statistics in Medicine 16, 239 257.
15. Kurland, B. F. and Heagerty, P. J. (2005). Directly parameterized regression conditioning on being alive: Analysis of longitudinal data truncated by deaths. Biostatistics 6, 241 258.
16. Lee, K. (2007). Marginalized regression models for longitudinal categorical data. Ph.D. thesis, University of Florida.
17. Liang, K. Y. and Zeger, S. L. (1986). Longitudinal data analysis using generalized linear models. Biometrika 73, 13 22.
18. Liu, I. and Agresti, A. (2005). The analysis of ordered categorical data: An overview and a survey of recent developments. Test 14, 1 73.
19. Liu, L. C. and Hedeker, D. (2006). A mixed-effects regression model for longitudinal multivariate ordinal data. Biometrics 62, 261 268.
20. McCullagh, P. (1980). Regression models for ordinal data. Journal of the Royal Statistical Society, Series B 42, 109 142.
21. Miglioretti, D. and Heagerty, P. (2004). Marginal modeling of multilevel binary data with time-varying covariates. Biostatistics 5, 381 398.
22. Molenberghs, G. and Lesaffre, E. (1994). Marginal modeling of correlated ordinal data using a multivariate Plackett distribution. Journal of the American Statistical Association 89, 633 644.
23. Pauler, D. K., McCoy, S., and Moinpour, C. (2003). Pattern mixture models for longitudinal quality of life studies in advanced stage disease. Statistics in Medicine 22, 795 809.
24. Todem, D., Kim, K., and Lesaffre, E. (2006). Latent-variable models for longitudinal data with bivariate ordinal outcomes. Statistics in Medicine 26, 1034 1054.
25. Williamson, J. M., Kim, K., and Lipsitz, S. R. (1995). Analyzing bivariate ordinal data using a global odds ratio. Journal of the American Statistical Association 90, 1432 1437.
26. Zeger, S. L. and Karim, M. R. (1991). Generalized linear model with random effects: A Gibbs sampling approach. Journal of the American Statistical Association 86, 79 86.